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242314630500 = 223537314531523
BaseRepresentation
bin1110000110101100010…
…0111101010101100100
3212011110022201122010110
43201223010331111210
512432230021134000
6303152351253020
723335532242455
oct3415304752544
9764408648113
10242314630500
1193846323408
123ab6681a170
1319b08a99c87
14ba29c4912c
15648326c850
hex386b13d564

242314630500 has 192 divisors, whose sum is σ = 716248495872. Its totient is φ = 63646387200.

The previous prime is 242314630489. The next prime is 242314630511. The reversal of 242314630500 is 5036413242.

242314630500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242314630489) and next prime (242314630511).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159102739 + ... + 159104261.

It is an arithmetic number, because the mean of its divisors is an integer number (3730460916).

Almost surely, 2242314630500 is an apocalyptic number.

242314630500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242314630500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358124247936).

242314630500 is an abundant number, since it is smaller than the sum of its proper divisors (473933865372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242314630500 is a wasteful number, since it uses less digits than its factorization.

242314630500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 242314630500 in words is "two hundred forty-two billion, three hundred fourteen million, six hundred thirty thousand, five hundred".